132 citations
- University of CreteGR52 papers
- Foundation for Research and Technology HellasGR31 papers
- National Technical University of AthensGR16 papers
- National and Kapodistrian University of AthensGR15 papers
- University of MessinaIT10 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Polytechnic University of BariIT7 papers
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- King Abdullah University of Science and TechnologySA6 papers
- FORTH Institute of Electronic Structure and LaserGR5 papers
- Suzhou Institute of Nano-tech and Nano-bionicsCN5 papers
- Chinese Academy of SciencesCN4 papers
5 papers · 1 filter
Convergence of Variational Approximation Schemes for Elastodynamics with Polyconvex Energy
Alexey Miroshnikov, Athanasios E. Tzavaras
We consider a variational scheme developed by S. Demoulini, D. M. A. Stuart and A. E. Tzavaras [Arch. Ration. Mech. Anal. 157 (2001)] that approximates the equations of three dimen…
Regularized semiclassical limits: linear flows with infinite Lyapunov exponents
Agissilaos Athanassoulis, Theodoros Katsaounis, Irene Kyza
Semiclassical asymptotics for linear Schrödinger equations with non-smooth potentials give rise to ill-posed formal semiclassical limits. These problems have attracted a lot of att…
Notes on error estimates for the standard Galerkin-finite element method for the Shallow Water equations
D. C. Antonopoulos, V. A. Dougalis
We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension, and also the analogous problem for a symmetric variant of the system. As…
Perturbation solutions of the semiclassical Wigner equation
E. K. Kalligiannaki, G. N. Makrakis
We present a perturbation analysis of the semiclassical Wigner equation which is based on the interplay between configuration and phase spaces via Wigner transform. We employ the s…
Stress relaxation models with polyconvex entropy in Lagrangean and Eulerian coordinates
Athanasios E. Tzavaras
The embedding of the equations of polyconvex elastodynamics to an augmented symmetric hyperbolic system provides in conjunction with the relative entropy method a robust stability…